A 2-year $100 par value bond pays 5% semi-annual coupons. The 6-month spot rate is 2%, the 1-year spot rate is 2.5%, the 18-month spot rate is 3% and the 2-year spot rate is 4%.
Determine the price of the bond
Determine the yield to maturity of the bond
In: Finance
1. Determine whether the following planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle of intersection.
-2x – 31y + 5z + 3 = 0
-3x + y + 5z -4 = 0
2. Find the distance between the point ( 2, -2, -3 )and the plane .2x – 3y + 4z = 8
In: Math
1.Write a C++ program using control structures, arrays, functions to calculate the number of dollars, quarters, dimes, nickels, and pennies in a given amount of money. The input should be a floating-point value representing a decimal value. Example: 63.87 à 63 [dollars and 87 cents] should output 63 dollars, 3 quarters, 1 dime, 0 nickels, and 2 pennies.
2. In trigonometry the cosine function can be calculated using cos(x) = 1 – x 2 /2! + x 4 /4!- x 6 /6! + x8 /8!- … Write a C++ program that uses a function to calculate the cos of a positive value (radians) by summing the 1st 15 terms of this series. You will need to write a separate function to calculate a factorial. Write another function that calculates the relative error between using 15 terms and 5 terms. The relative error can be calculated as |cosine(x, 15) – cosine(x, 5)|/cosine(x, 15).
In: Computer Science
2. At 500 °C, cyclopropane (C3H6) rearranges to propene (CH3CH=CH2): C3H6 (g) ------> CH3CH=CH2 (g)
The reaction is first order and the rate constant is 6.7 x 10-4 s-1. (a) What is the rate law for the reaction, and; (b) if the initial concentration of C3H6 is 0.100 M, what is the concentration of cyclopropane of after 20 min?
3. Butadiene (C4H6) reacts with itself at 250 °C to form a dimer with the formula C8H12.
2 C4H6 (g) ----> C8H12 (l)
The reaction is second order in C4H6. (a) What is the rate law for the reaction, and; (b) if the rate constant is 4.0 x 10-2 M-1.s-1, and the initial concentration of C4H6 is 0.200 M, how long will it take for the concentration of C4H6 to reach 0.04 M?
4. a) In Q. 2 above what is the half life for the reaction and what is concentration of C3H6 after 3 half-lives
b) In Q. 3 above how long are the first and second half-lives?
In: Chemistry
Suppose that a company has a series of liabilities with the due dates as follows:: In 6 months: $2,000,000, In 1 year: $2,200,000, In 1.5 years: $2,500,000, In 2 years: $3,200,000, In 2.5 years: $3,700,000, In 3 years: $4,300,000, In 3.5 years: $4,700,000, In 4 years: $5,100,000. The company is considering investing in four different bonds: (1) a 1-year Treasury Bill with a face value of $1,000 and no coupon, (2) a 2-year Treasury note with a face value of $1,000 and an annual coupon rate of 1.5%, (3) a 3-year Treasury note with a face value of $1,000 and an annual coupon rate of 1.90%, and (4) a 5-year Treasury note with a face value of $1,000 and an annual coupon rate of 2.30%. All Treasury notes make 2 (semi-annual) coupon payments per year. The yield to maturity on all bonds is 1.45%. How many of each of these bonds the company should buy to be fully funded and be immunized against interest rate risk? please step by step in excel!
In: Finance
Question 1
Calculate the Hydraulic Radius for a trapezoidal channel that has a bottom width of 4 feet, side slopes, s = 20, a Manning’s n value of 0.012, and bottom slope of 1.5%, and a depth of flow of 1 foot.
| a. |
0.54 ft |
|
| b. |
1.3 ft |
|
| c. |
2.1 ft |
|
| d. |
2.9 ft |
|
| e. |
3.7 ft |
2 points
Question 2
A trapezoidal channel that has a bottom width of 4 feet, side slopes 2:1 (H:V) and bottom slope of 1.0%. Calculate the Froude Number for a flow of 77,000 GPM. Assume (n = 0.025).
| a. |
0.12 |
|
| b. |
0.35 |
|
| c. |
0.55 |
|
| d. |
0.77 |
|
| e. |
1.07 |
2 points
Question 3
A rough concrete (n = 0.018) rectangular channel that has a bottom width of 3.0 feet and bottom slope of 1.31%. Calculate the normal depth for a flow of 68 cfs.
| a. |
1.5 ft. |
|
| b. |
2.0 ft. |
|
| c. |
2.5 ft. |
|
| d. |
3.0 ft. |
|
| e. |
3.5 ft. |
In: Civil Engineering
Draw a dash-wedge structure for (2S,3R)-3-bromo-6,6-dimethylocta-7-en-2-ol. Draw a dash-wedge structure for (3S,4R)-4-chloro-3,5-dimethylhex-1-yne.
In: Chemistry
Copper Explorations
recently acquired the rights to mine a new site. Equipment and a
truck were purchased to begin mining operations at the site.
Details of the mining assets follow:
| Asset | Date of Purchase | Cost |
Est. Residual |
Est. Life | ||||||
| Mineral rights | Mar. 1/20 | $ | 96,000 | $ | 0 | 4 yrs | ||||
| Equipment | Mar. 1/20 | 283,800 | 0 | 4 yrs | ||||||
| Truck | Mar. 1/20 | 134,400 | 0 | 4 yrs | ||||||
Copper's year-end is December 31 and it uses the straight-line
method for all mining assets including intangibles.
Required:
1. Record amortization and depreciation at December 31,
2020, on the mining assets, including the mineral rights.
2.
Assume the mine was closed on October 31, 2023, and the assets were
scrapped. Record the disposal of the assets.
In: Accounting
Please show the steps!!!
Consider the molecule AlH, in which the rotational constant is 6.3937842 cm-1. Assume that the molecule is a rigid rotor.
1. Calculate the ratio of the populations in J=1 to the population in the ground state at a temperature 85.00 K.
2. Calculate the ratio of the populations in J=4 to the population in the ground state at a temperature 85.00 K.
3. Calculate the ratio of the populations in J=12 to the population in the ground state at a temperature 85.00 K.
4. Calculate the ratio of the populations in J=1 to the population in the ground state at a temperature 557.0 K.
5. Calculate the ratio of the populations in J=4 to the population in the ground state at a temperature 557.0 K.
6. Calculate the ratio of the populations in J=12 to the population in the ground state at a temperature 557.0 K.
In: Chemistry
In: Biology